Anti-CC-Groups and Anti-PC-Groups
Copyright policy )Anti-CC-Groups and Anti-PC-Groups
A groupGhas Černikov classes of conjugate subgroups if the quotient groupG/coreG(NG(H))is a Černikov group for each subgroupHofG. An anti-CCgroupGis a group in which each nonfinitely generated subgroupKhas the quotient groupG/coreG(NG(K))which is a Černikov group. Analogously, a groupGhas polycyclic-by-finite classes of conjugate subgroups if the quotient groupG/coreG(NG(H))is a polycyclic-by-finite group for each subgroupHofG. An anti-PCgroupGis a group in which each nonfinitely generated subgroupKhas the quotient groupG/coreG(NG(K))which is a polycyclic-by-finite group. Anti-CCgroups and anti-PCgroups are the subject of the present article.
- University of Palermo Italy
Settore MAT/02 - Algebra, anti-$PC$-groups, Anti-$CC$-groups, anti-$PC$-groups, Chernikov groups, Anti-$CC$-groups, QA1-939, Chernikov groups, Settore MAT/03 - Geometria, Mathematics
Settore MAT/02 - Algebra, anti-$PC$-groups, Anti-$CC$-groups, anti-$PC$-groups, Chernikov groups, Anti-$CC$-groups, QA1-939, Chernikov groups, Settore MAT/03 - Geometria, Mathematics
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